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Finding the Fourth Proportional to 389.22, 583.90 and 194.24

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Solution

The fourth proportional to 389.22, 583.90 and 194.24 is: 291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.22 : 583.90 = 194.24 : x
  2. Step 2: Convert to fraction form
    389.22/583.90 = 194.24/x
  3. Step 3: Cross multiply
    389.22x = 583.90 × 194.24
  4. Step 4: Simplify right side
    389.22x = 113,416.74
  5. Step 5: Solve for x
    x = 113,416.74/389.22
  6. Step 6: Final answer
    x = 291.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.